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Finding the Fourth Proportional to 219.95, 328.35 and 204.58

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Solution

The fourth proportional to 219.95, 328.35 and 204.58 is: 305.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.95 : 328.35 = 204.58 : x
  2. Step 2: Convert to fraction form
    219.95/328.35 = 204.58/x
  3. Step 3: Cross multiply
    219.95x = 328.35 × 204.58
  4. Step 4: Simplify right side
    219.95x = 67,173.17
  5. Step 5: Solve for x
    x = 67,173.17/219.95
  6. Step 6: Final answer
    x = 305.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.